25x^2-27=30x

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Solution for 25x^2-27=30x equation:


Simplifying
25x2 + -27 = 30x

Reorder the terms:
-27 + 25x2 = 30x

Solving
-27 + 25x2 = 30x

Solving for variable 'x'.

Reorder the terms:
-27 + -30x + 25x2 = 30x + -30x

Combine like terms: 30x + -30x = 0
-27 + -30x + 25x2 = 0

Factor a trinomial.
(-3 + -5x)(9 + -5x) = 0

Subproblem 1

Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6

Subproblem 2

Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8

Solution

x = {-0.6, 1.8}

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